Pith Number

pith:ROEAMCNP

pith:2016:ROEAMCNPXJNCAOT7U22BRAHUOP

not attested not anchored not stored refs pending

Arithmetic exponent pairs for algebraic trace functions and applications

Jie Wu, Ping Xi (with an appendix by Will Sawin)

arxiv:1603.07060 v5 · 2016-03-23 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROEAMCNPXJNCAOT7U22BRAHUOP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Twelfth moment of Dirichlet L-functions to prime power moduli

Receipt and verification

First computed	2026-07-05T02:33:03.244374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b880609afba5a203a7fa6b41880f473d80a9092c9e15e9e8eaf6136898c2bb4

Aliases

arxiv: 1603.07060 · arxiv_version: 1603.07060v5 · doi: 10.48550/arxiv.1603.07060 · pith_short_12: ROEAMCNPXJNC · pith_short_16: ROEAMCNPXJNCAOT7 · pith_short_8: ROEAMCNP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ROEAMCNPXJNCAOT7U22BRAHUOP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8b880609afba5a203a7fa6b41880f473d80a9092c9e15e9e8eaf6136898c2bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b206b11523149bcb8899a4a8f8cb9163335d12808bee5fb44872fc5522cd3b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-23T03:24:15Z",
    "title_canon_sha256": "0af911103b582fd3596a4c98afa223544f182b7253eda218c8983a95eda187bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07060",
    "kind": "arxiv",
    "version": 5
  }
}